Answer:
Adam is 4 years old
Robin is 24 years old
Earl is 12 years old
Explanation:
Assume that Earl's current age is x years
We are given that:
1- Robin is twice as old as Earl. This means that:
Robin's current age is 2x years
2- Adam is 8 years younger than Earl. This means that:
Adam's current age is x-8 years
3- In 6 years, Robin will be three times as old as Adam
In six years:
Robin's age will be 2x + 6
Adam's age will be x-8+6 = x-2
Setting the equation from the third given:
2x+6 = 3(x-2)
2x + 6 = 3x - 6
6 + 6 = 3x - 2x
x = 12
This means that:
Earl's age = x = 12 years
Robin's age = 2x = 2*12 = 24 years
Adam's age = x-8 = 12-8 = 4 years
Hope this helps :)
Answer:
Robin = 60 years
Earl = 30 years
Adam = 22 years
Step-by-step explanation:
Let the ages of Robin, Earl and Adam be represented by the first letter of their names i.e. R, E and A respectively.
Robin is twice as old as Earl. In equation form we can write this as:
R = 2E
in 6 years Robin will be 3 times as old as Adam. In equation form this will be:
R + 6 = 3A
Adam is 8 years younger than Earl. In equation form this will be:
A = E - 8
We have to find the value of R, E and A from these equations.
Using the value of R from 1st equation and value of A from 3rd equation, and using them in 2nd equation, we get:
2E + 6 = 3(E - 8)
2E + 6 = 3E - 24
6 + 24 = 3E - 2E
E = 30
Using this value in 1st equation we get:
R = 2E = 2 x 30 = 60
Using the value of E in 3rd equation, we get:
A = E - 8 = 30 - 8 = 22
So their ages are:
Robin = 60 years
Earl = 30 years
Adam = 22 years
